Question

# Check that the ratio  /G is dimensionless. Look up a Table of Physical Constants and determine the value of this ratio. What does the ratio signify?

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Solution
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## The given ratio is Where, Gravitational constantIts unit is . and  Masses of electron and proton.Their unit is kg. Electric charge.Its unit is C. constant Permittivity of free space Its unit is . Unit of the given ratio Hence, the given ratio is dimensionless. This is the ratio of electric force to the gravitational force between a proton and an electron, keeping distance between them constant.

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